2205792 has 120 divisors (see below), whose sum is σ = 6952176. Its totient is φ = 684288.

The previous prime is 2205787. The next prime is 2205793. The reversal of 2205792 is 2975022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59598 + ... + 59634.

2^2205792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476088).

2205792 is an abundant number, since it is smaller than the sum of its proper divisors (4746384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2205792 is a wasteful number, since it uses less digits than its factorization.

2205792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2205792 is about 1485.1908968210. The cubic root of 2205792 is about 130.1731814202.

The spelling of 2205792 in words is "two million, two hundred five thousand, seven hundred ninety-two".